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Finding the Third Proportional to 25,908 and 53,657

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Solution

The third proportional to 25,908 and 53,657 is: 111,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,908 : 53,657 = 53,657 : x
  2. Step 2: Convert to fraction form
    25,908/53,657 = 53,657/x
  3. Step 3: Cross multiply
    25,908x = 53,657 × 53,657
  4. Step 4: Simplify right side
    25,908x = 2,879,073,649
  5. Step 5: Solve for x
    x = 2,879,073,649/25,908
  6. Step 6: Final answer
    x = 111,126.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.